Centre for the Mathematics of Symmetry and Computation

Newsletter, May 2014

May 2014 newsletter of the Centre for the Mathematics of Symmetry and Computation

The Centre for the Mathematics of Symmetry and Computation is a Centre located within the UWA School of Mathematics and Statistics. We provide a focus for mathematical research and research training in the areas of group theory, combinatorics and computation, to give mathematics the increased visibility it deserves.

Recent and upcoming visitors

  • Jin-Xin Zhou, Beijing Jiaotong University, China, 16 November 2013 - 16 November 2014.
  • Steven Noble, Brunel University, United Kingdom, 6 - 19 April 2014.
  • Frank Lübeck, Lehrstuhl D für Mathematik, RWTH Aachen University, Germany, 14 - 30 May 2014.
  • Csaba Schneider, Universidade Federal de Minas Gerais, Brazil, 6 - 26 July 2014.
  • Anne Thomas, University of Glasgow, United Kingdom, 28 July - 2 August 2014.
  • Hassan Alavi, Bu-Ali Sina University, Iran, 1 September - 10 October 2014.


  • Once again the CMSC annual retreat was a huge success. We returned to Swanleigh and this year there were 21 attendees. This included Dugald McPherson who was visiting us at the time. An addition to the usual program of problem sessions, we had two lectures given by Simon Smith on infinite permutation groups. A special note of thanks should be given to Alice Devillers and Michael Giudici for the organisation.
  • Joanna Fawcett graduated with her PhD at the University of Cambridge in February 2014. She also gave a talk at the Algebra Seminar there.
  • Sylvia Morris has been awarded a Master in Philosophy - Research. Her thesis was titled "Symplectic translation planes, pseudo-ovals, and maximal 4-arcs".
  • Cheryl Praeger attended meetings of the Executive Committees of the International Mathematical Union (Princeton, March), and the International Commission for Mathematical Instruction (Rio de Janeiro, April).
  • Cheryl Praeger was awarded Honorary Life Membership of the Australian Mathematical Society.
  • Cheryl Praeger gave research seminars at the Universities of Oxford and Cambridge in the United Kingdom in March.


SymOmega is a mathematical blog run by three CMSC members: Michael Giudici, John Bamberg and Gordon Royle.


Graphs, Hypergraphs and Computing, Program at Institut Mittag-Leffler, Stockholm, Sweden, January-June 2014.

Gordon Royle is an invited participant for 13 April - 14 May 2014.

Groups, Computation and Geometry, Fort Collins, USA, 9-13 June 2014.

John Bamberg is an invited speaker, Luke Morgan will be attending.

Algebraic Combinatorics: Spectral Graph Theory, Erdös-Ko-Rado Theorems and Quantum Information Theory, A Conference to celebrate the work of Chris Godsil, Waterloo, Canada, 23-27 June 2014.

Cheryl Praeger and Gordon Royle are invited speakers, Irene Pivotto and Gabriel Verret will be attending.

Symmetries of Graphs and Networks IV, Rogla, Slovenia, 29 June-5 July 2014.

Michael Giudici and Cai Heng Li are invited speakers, Luke Morgan and Gabriel Verret will be attending.

Algebra, Geometry and Computation, Eindhoven, Netherlands, 2-4 July 2014.

Stephen Glasby will be attending.

SIGMAP 2014 WorkshopSymmetry In Graphs, Maps And Polytopes, West Malvern, U.K., 7-11 July 2014.

Cai Heng Li is an invited speaker, Luke Morgan, Guang Rao and Gabriel Verret will be giving talks.

GAGTA 8 (Geometric and Asymptotic Group Theory with Applications), Newcastle, Australia, 21-25 July 2014.

Simon Smith is an organiser, Michael Giudici and Luke Morgan will be attending.

2014 International Workshop on Structure in Graphs and Matroids, Princeton, USA, 21-25 July 2014.

Irene Pivotto and Gordon Royle are invited speakers.

International Conference on Combinatorics and Graphs, A Satellite Conference of International Congress of Mathematicians 2014, Beijing, China, 8-12 August 2014.

Cai Heng Li is a plenary speaker, Stephen Glasby and Gabriel Verret will be speaking.

Ljubljana - Leoben Graph Theory Seminar 2014, Koper, Slovenia, 3-5 September 2014.

Gabriel Verret will be attending.



All the publications of our members that are deposited on the arXiv.

Published papers

  1. A. Devillers, W. Jin, C. H. Li and C. E. Praeger, On normal 2-geodesic transitive Cayley graphs, Journal of Algebraic Combinatorics 39 (2014), 903-918.
  2. W. W. Fan, C. H. Li and J. M. Pan,  Locally 2-arc-transitive complete bipartite graphs, J. Group Theory 17 (2014), 111-129.
  3. C. H. Li and G. Rao, Self-complementary vertex-transitive graphs of order a product of two primes, Bull. Aust. Math. Soc. 89 (2014), 322-330.
  4. M. Milanič, A.S. Pedersen, D. Pellicer and G. Verret, Graphs whose complement and square are isomorphic, Discrete Math. 327 (2014), 62-75.
  5. A. C. Niemeyer, T. Popiel and C. E. Praeger, Abundant p-singular elements in finite classical groups, J. Algebra 408 (2014) 189-204.
  6. G. Verret, Arc-transitive graphs of valency 8 have a semiregular automorphism, Ars Math. Contemp. 8 (2015), 29-34.

Accepted Papers

  1. E. Dobson, P. Spiga and G. Verret, Cayley graphs on abelian groups, accepted in Combinatorica.
  2. Y. Q. Feng, C. H. Li and J. X. Zhou, Symmetric cubic graphs with solvable automorphism groups, accepted in European J. Combin.
  3. M. Giudici, C. E. Praeger and P. Spiga, Finite primitive permutation groups and regular cycles of their elements, accepted in J. Algebra.
  4. M. Giudici, P. Potočnik and G. Verret, Semiregular automorphisms of edge-transitive graphs, accepted in J. Algebraic Comb.
  5. S. Guest, J. Morris, C. E. Praeger and P. Spiga , Affine transformations of finite vector spaces with large orders or few cycles, accepted in J. Pure and Applied Algebra.
  6. C. H. Li and X. H. Li, Primitive permutation groups of degree being a product of two prime-powers, accepted in Comm. Algebra.
  7. C. H. Li , Z. P. Lu, and J. M. Pan, Finite vertex-primitive edge-transitive metacirculants, accepted in J. Algebraic Combin.
  8. C. H. Li, J. M. Pan, S. J. Song and D. J. Wang, A class of edge-transitive metacirculans, accepted in J. Combin. Theory Ser. B.
  9. C. H. Li, G. Rao and S. J. Song,  On finite self-complementary metacirculants, accepted in J. Algebraic Combin.
  10. A. C. Niemeyer and C. E. Praeger, Elements in finite classical groups whose powers have large 1-Eigenspaces, accepted in Discrete Math. Theor. Comput. Sci.
  11. F. Pfender and G. Royle, Quartic graphs with every edge in a triangle, accepted in J. Graph Theory.
  12. C. E. Praeger, Á. Seress and S. Yalcinkaya, Generation of finite classical groups by pairs of elements with large fixed point spaces, accepted in J. Algebra.

Submitted papers

  1. A. Abdesselam, C. Ikenmeyer, G. Royle, 16,051 formulas for Ottaviani's invariant of cubic threefolds. arXiv:1402.2669
  2. A. Alahmadi, S. Alamoudi, S. Karadeniz, B. Yildiz, C. E. Praeger and P. Sole,  Centraliser codes.
  3. J. Bamberg, S. P. Glasby and E. Swartz, AS-configruations and skew-translation generalised quadrangles.
  4. R. Chen and I. Pivotto, Biased graphs with no two vertex-disjoint unbalanced cycles. arXiv:1403:1919.
  5. R. Chen, M. DeVos, D. Funk and I. Pivotto, Graphical representations of graphic frame matroids. arXiv:1403:7733.
  6. B. P. Corr, T. Popiel and C. E. Praeger, Nilpotent-independent sets and estimation in matrix algebras. arXiv:1405.1795.
  7. M. DeVos, D. Funk and I. Pivotto, When does a biased graph come from a group labelling? arXiv:1403.7667.
  8. N. Gillespie, C. E. Praeger and P. Spiga, Twisted permutation codes. arXiv:1402.5305.
  9. M. Giudici and L. Morgan, On locally semiprimitive graphs and a theorem of Weiss. arXiv:1405.1232.
  10. M. Giudici, L. Morgan, P. Potočnik and G. Verret, Elusive groups of automorphisms of digraphs of small valency. arXiv:1405.1228.
  11. S. P. Glasby, C. E. Praeger and B. Xia, Decomposing modular tensor products: "Jordan partitions", their parts and p-parts. arXiv:1403.4685.
  12. B. D. McKay, and G. F. Royle, There are 2834 spreads of lines in PG(3,8). arXiv:1404.1643.
  13. M.F. Newman and Alice C. Niemeyer, On complexity of multiplication in finite soluble groups. arXiv:1405.0150.


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